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Please help. Find the area of the composite figure

Please help. Find the area of the composite figure-example-1

2 Answers

3 votes

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

User Brian Rothstein
by
8.9k points
4 votes

Explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = 225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

User IKnowNothing
by
7.6k points

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